Ricci-Yamabe Solitons on Lorentzian Para-Kenmotsu Manifolds Admitting Generalized Tanaka-Webster Connection

Abstract

In this paper, we study the characteristics of Ricci-Yamabe solitons in the context of Lorentzian para-Kenmotsu manifolds with respect to generalized Tanaka-Webster connection. At first, we show that the concircular curvature tensor  does not imply . Next, we show that a Lorentzian para-Kenmotsu manifold with respect to  admitting a Ricci-Yamabe soliton is an η-Einstein manifold and we find the condition for soliton to be shrinking, steady and expanding. we find out if potential vector field V is collinear with  then manifold is an η-Einstein manifold. Finally, manifolds satisfying the ξ-concircular flat and φ-concircular semisymmetric conditions have been studied.